diff --git a/Lib/test/test_struct.py b/Lib/test/test_struct.py
index 88404629e0c..0c193269210 100644
--- a/Lib/test/test_struct.py
+++ b/Lib/test/test_struct.py
@@ -443,8 +443,10 @@ class StructTest(unittest.TestCase):
 
         # Go beyond boundaries.
         small_buf = array.array('b', b' '*10)
-        self.assertRaises(struct.error, s.pack_into, small_buf, 0, test_string)
-        self.assertRaises(struct.error, s.pack_into, small_buf, 2, test_string)
+        self.assertRaises((ValueError, struct.error), s.pack_into, small_buf, 0,
+                          test_string)
+        self.assertRaises((ValueError, struct.error), s.pack_into, small_buf, 2,
+                          test_string)
 
         # Test bogus offset (issue 3694)
         sb = small_buf
@@ -468,8 +470,10 @@ class StructTest(unittest.TestCase):
 
         # Go beyond boundaries.
         small_buf = array.array('b', b' '*10)
-        self.assertRaises(struct.error, pack_into, small_buf, 0, test_string)
-        self.assertRaises(struct.error, pack_into, small_buf, 2, test_string)
+        self.assertRaises((ValueError, struct.error), pack_into, small_buf, 0,
+                          test_string)
+        self.assertRaises((ValueError, struct.error), pack_into, small_buf, 2,
+                          test_string)
 
     def test_unpack_with_buffer(self):
         # SF bug 1563759: struct.unpack doens't support buffer protocol objects